We have that problem here too... 4 cup pot maker with family that visits a lot on the weekends. We bought a thermos carafe (silver and black like you see at restaurants) and make a few pots to fill just before company arrives. It's perfect! It may be a bit time consuming for you with only a two pot maker, your other option is a box of joe from Dunkin Donuts!

You can probably get a larger coffee pot for free from freecycle, cragislist, etc. Or see if you can borrow a larger coffee pot from a neighbor, friend or relative. If you are serving coffee to 11 people you may have to make several pots with 10-12 cup coffee maker.

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Might be a good idea to brew some in advance and put it in a carafe or thermos. And you could also find out if anyone drinks decaf, and use the 2 cup pot for that.

boil the water. put the coffee in the filter container but sit the filter container on top of a glass measuring bowl or cup. then pour in the water. a little at a time. then you will have coffee. put in a thermos to keep warm.